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An Orlicz-Besov Poincaré Inequality via John Domains
Author
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Denote by B˙⁎α,ϕ(Ω) the intrinsic Orlicz-Besov space, where α∈R, ϕ is a Young function, and Ω⊂Rn is a domain.
For α∈(-n,0) and optimal ϕ, via John domains, we establish criteria for bounded domains Ω⊂Rn supporting an Orlicz-Besov Poincaré inequality.
‖u-uΩ‖Ln/|α|(Ω)≤C‖u‖B˙⁎α,ϕ(Ω) ∀u∈B˙⁎α,ϕ(Ω).
This extends the known criteria for bounded domains supporting Sobolev-Poincaré inequality and its fractional analogue.
American Psychological Association (APA)
Sun, Hongyan. 2019. An Orlicz-Besov Poincaré Inequality via John Domains. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174780
Modern Language Association (MLA)
Sun, Hongyan. An Orlicz-Besov Poincaré Inequality via John Domains. Journal of Function Spaces No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1174780
American Medical Association (AMA)
Sun, Hongyan. An Orlicz-Besov Poincaré Inequality via John Domains. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174780
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174780